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Simplifying Log(8)(4x + -3) = log(8) * 33 Reorder the terms: goL * 8(-3 + 4x) = log(8) * 33 Reorder the terms for easier multiplication: 8goL(-3 + 4x) = log(8) * 33 (-3 * 8goL + 4x * 8goL) = log(8) * 33 (-24goL + 32goxL) = log(8) * 33 Reorder the terms for easier multiplication: -24goL + 32goxL = 8 * 33glo Multiply 8 * 33 -24goL + 32goxL = 264glo Solving -24goL + 32goxL = 264glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-264glo' to each side of the equation. -24goL + -264glo + 32goxL = 264glo + -264glo Reorder the terms: -264glo + -24goL + 32goxL = 264glo + -264glo Combine like terms: 264glo + -264glo = 0 -264glo + -24goL + 32goxL = 0 Factor out the Greatest Common Factor (GCF), '8go'. 8go(-33l + -3L + 4xL) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-33l + -3L + 4xL)' equal to zero and attempt to solve: Simplifying -33l + -3L + 4xL = 0 Reorder the terms: -3L + -33l + 4xL = 0 Solving -3L + -33l + 4xL = 0 Move all terms containing g to the left, all other terms to the right. Add '3L' to each side of the equation. -3L + -33l + 3L + 4xL = 0 + 3L Reorder the terms: -3L + 3L + -33l + 4xL = 0 + 3L Combine like terms: -3L + 3L = 0 0 + -33l + 4xL = 0 + 3L -33l + 4xL = 0 + 3L Remove the zero: -33l + 4xL = 3L Add '33l' to each side of the equation. -33l + 33l + 4xL = 3L + 33l Combine like terms: -33l + 33l = 0 0 + 4xL = 3L + 33l 4xL = 3L + 33l Add '-4xL' to each side of the equation. 4xL + -4xL = 3L + 33l + -4xL Combine like terms: 4xL + -4xL = 0 0 = 3L + 33l + -4xL Simplifying 0 = 3L + 33l + -4xL The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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